scholarly journals Structural length-scale sensitivities of reflectance measurements in continuous random media under the Born approximation

2012 ◽  
Vol 37 (24) ◽  
pp. 5220 ◽  
Author(s):  
Andrew J. Radosevich ◽  
Ji Yi ◽  
Jeremy D. Rogers ◽  
Vadim Backman
Keyword(s):  
Born Approximation ◽  
Random Media ◽  
Length Scale ◽  
Reflectance Measurements ◽  
Structural Length

scholarly journals Spectral Intensity Variation by the Correlation Function of Refractive Index Fluctuations of the Liquid Medium

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Nageshwar Singh
Keyword(s):  
Refractive Index ◽  
Correlation Function ◽  
Liquid Medium ◽  
Born Approximation ◽  
Random Media ◽  
Intensity Variation ◽  
Spectral Intensity ◽  
Far Field ◽  
Macroscopic Theory ◽  
Spatial Correlation Function

It is proposed that a macroscopic theory of propagation and scattering of light through random media can be functional for the dye liquid flowing media in the microscopic levels too, with modest approximations. Maxwell’s equation for a random refractive index medium is approximated and solved for the electric field. An analytical expression for the spectral intensity of the field scattered by the refractive index fluctuations inside a medium has been derived which was valid within the first Born approximation. Far field spectral intensity variation of the radiation propagating through the liquid medium is a consequence of variation in correlation function of the refractive index inhomogeneities. The strength of radiation scattered in a particular direction depends on the spatial correlation function of the refractive index fluctuations of the medium. An attempt is made to explain some of the experimentally observed spectral intensity variations, particularly dye emission propagation through liquid flowing medium, in the presence of thermal and flow field.

Accuracy of the Born approximation in calculating the scattering coefficient of biological continuous random media

2009 ◽  
Vol 34 (17) ◽  
pp. 2679 ◽  
Author(s):  
İlker R. Çapoğlu ◽  
Jeremy D. Rogers ◽  
Allen Taflove ◽  
Vadim Backman
Keyword(s):  
Born Approximation ◽  
Random Media ◽  
Scattering Coefficient

Nonscalar elastic light scattering from continuous random media in the Born approximation

2009 ◽  
Vol 34 (12) ◽  
pp. 1891 ◽  
Author(s):  
Jeremy D. Rogers ◽  
İlker R. Çapoğlu ◽  
Vadim Backman
Keyword(s):  
Light Scattering ◽  
Born Approximation ◽  
Random Media ◽  
Elastic Light Scattering

Strength Variations during Mechanical Alloying Through the Nanostructural Range

2003 ◽  
Vol 791 ◽  
Author(s):  
Christopher A. Schuh ◽  
David T. Schoen ◽  
Alan C. Lund
Keyword(s):  
Mechanical Alloying ◽  
Domain Size ◽  
Phase Evolution ◽  
Length Scale ◽  
Structure Property ◽  
Final State ◽  
Length Scales ◽  
Structure Property Relationship ◽  
Chemical Mixing ◽  
Structural Length

ABSTRACTDuring processes of mechanical alloying the characteristic structural length scales of an alloy, including the phase domain size and the crystallite grain size, decrease gradually to a nanocrystalline or even amorphous final state. This method therefore allows a unique avenue to explore the structure-property relationship over several orders of magnitude in length scale. In this work we have considered an ideal equiatomic Ti-Zr system deformed through multiple cold-rolling passes to refine the structural length scales into the nanometer range. The variation of the hardness of the system with decreasing length scale is discussed in terms of traditional Hall-Petch scaling, chemical mixing and the phase evolution of the system, as well as other possible contributions to the hardness variations during processing.

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